Hyperplane mean values of solutions of parabolic equations (Q916889)
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scientific article; zbMATH DE number 4155006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperplane mean values of solutions of parabolic equations |
scientific article; zbMATH DE number 4155006 |
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Hyperplane mean values of solutions of parabolic equations (English)
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1988
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The behavior of certain hyperplane mean values of solutions of n- dimensional linear second order uniformly parabolic equations on an infinite strip is studied. The results are used to prove a representation theorem for solutions satisfying a one-sided \(L^ p\) constraint. An extended maximum principle is also given as an application.
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fundamental solution
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hyperplane mean values
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linear second order uniformly parabolic equations
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representation theorem
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extended maximum principle
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